All categories

3 years ago

Solve by completing the square x^2-6x-16=0

Mathematics

2 answers:

Greeley [361]3 years ago

7 0

Answer:

x = 8 or

x = -2

Step-by-step explanation:

<h2>Completing The Square:</h2>

x² - 6x - 16 = 0

Here,

a = 1

b = -6

c = -16

Now,

x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0

x² - 6x + (6/2)² - (6/2)² - 16 = 0

x² - 6x + (3)² - (3)² - 16 = 0

(x - 3)² - 9 - 16 = 0

(x - 3)² - 25 = 0

(x - 3)² = 25

x - 3 = +-√25

x - 3 = +- 5

x = 3 +- 5

x = 3 + 5 or x = 3 - 5

x = 8 or x = -2

Hope it's helpful

Elan Coil [88]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Y+2x=7 and x=3+y Solve each system of equations using substitution

Alex

Answer:

y+2x=7 (1)

x=3+y (2)

Replace x = 3+y (2) into (1) => y+2(3+y) = 7

=> y = 1/3 and x = 3+1/3 =10/3

Step-by-step explanation:

4 0

3 years ago

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon

Ymorist [56]

Answer:

See below

Step-by-step explanation:

100 ft in 4 min = 25 ft/min

125 feet in 5 min = 25 ft min

so the height is d = 25 * m d = height m = minutes

25* 8 = 200 feet

8 0

2 years ago

Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Al

Anna007 [38]

Answer:

1. $7 for climbing the rock

Step-by-step explanation:

x is the number of laser tags

y is the number of times climbed the rock

a. 2x + 3y = 31

b. 4x + y =27

lets find y

Step 1

4x + y = 27

y = 27 -4x

step 2

replace y with 27 - 4x in the a.

2x + 3( 27 - 4x) = 31

2x + 81 - 12x = 31

2x -12x = 31 -81

x = 5

y = 27 - 4(5)

y = 7

6 0

3 years ago

HELP ASAP! convert to slope-intercept form with steps please :) 6x > 2y = 5

luda_lava [24]

Answer:

y < 3x + $\frac{5}{2}$

Step-by-step explanation:

6x > 2y - 5

Adding 5 to both sides

=> 6x + 5 > 2y

=> 2y < 6x+5

Dividing both sides by 2

=> y < $\frac{6x+5}{2}$

=> y < $\frac{6x}{2} + \frac{5}{2}$

=> y < 3x + $\frac{5}{2}$

This is the required slope intercept form in the form $y = mx+b$

3 0

3 years ago

Kendra makes $8 per hour mowing lawns in the summer. Gas for the mower

Elis [28]

Answer:

27 hours

Step-by-step explanation:

So t is going to represent time. $8t is equivalent to how much she makes for t amount of time. Being she is already down $16 for the gas, we have to take that into consideration that she must earn that back. Set up:

$8t - $16 = $200

Add like terms to get:

$8t = $216

Now solve for t by dividing both sides by $8.

t = 27 hours

8 0

3 years ago